Geodesic
Functions having the Darboux property and satisfying some functional equation
Eliza Jab/lońska1
1 Department of Mathematics Rzeszów University of Technology W. Pola 2 35-959 Rzeszów, Poland
Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 113-118 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $X$ be a real linear topological space. We characterize solutions $f:X\rightarrow\mathbb{R}$ and $M:\mathbb{R}\rightarrow \mathbb{R}$ of the equation $f(x+M(f(x))y)=f(x)f(y)$ under the assumption that $f$ and $M$ have the Darboux property.
DOI : 10.4064/cm114-1-9
Keywords: real linear topological space characterize solutions rightarrow mathbb mathbb rightarrow mathbb equation f y under assumption have darboux property

Eliza Jab/lońska 1

1 Department of Mathematics Rzeszów University of Technology W. Pola 2 35-959 Rzeszów, Poland 
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Eliza Jab/lońska. Functions having the Darboux property and satisfying some functional equation. Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 113-118. doi: 10.4064/cm114-1-9

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